6. (a) Given any right triangle, show how to obtain from it a triangle whose defect is twice as great. (b) What can be said intuitively about the relation of the areas of the two triangles? (c) Show that the problem proposed in (a) cannot be solved if the word "right" is omitted.

6. (a) Given any right triangle, show how to obtain from it a triangle whose defect is twice as great. (b) What can be said intuitively about the relation of the areas of the two triangles? (c) Show that the problem proposed in (a) cannot be solved if the word "right" is omitted.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.3: Proving Triangles Similar

Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...

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Question

Gans Chapter 3: Section 9.

Please do Exercise 6a only.

6a) Given any right triangle, show how to obtain from it a triangle whose defect is twice as great.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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